Phase transition in a spring-block model of surface fracture
Institute of Physics, Academia Sinica - Taipei, Taiwan 11529, ROC
2 Department of Mathematics, Imperial College, Huxley Building, 180 Queen's Gate, London SW7 2BZ, UK
Accepted: 6 May 1997
A simple and robust spring-block model obeying threshold dynamics is introduced to study surface fracture of an overlayer subject to stress induced by adhesion to a substrate. We find a novel phase transition in the crack morphology and fragment-size statistics when the strain and the substrate coupling are varied. Across the transition, the cracks display in succession short-range, power law and long-range correlations. The study of stress release prior to cracking yields useful information on the cracking process.
PACS: 64.60.-i – General studies of phase transitions / 81.40.Np – Fatigue, corrosion fatigue, embrittlement, cracking, fracture and failure / 64.60.Lx – Self-organized criticality; avalanche effect
© EDP Sciences, 1997